50 citations · 401 across the 46 of their papers we have counts for
46 papers
On (almost) realizable subsequences of linearly recurrent sequences
Florian Luca, Tom Ward
In this note we show that if is a simple linearly recurrent sequence of integers whose minimal recurrence of order involves only positive coefficients th…
Stirling number and periodic points
Piotr Miska, Tom Ward
We introduce the notion of almost realizability, an arithmetic generalization of realizability for integer sequences, which is the property of counting periodic points for some map…
Fibonacci along even powers is (almost) realizable
Patrick Moss, Tom Ward
An integer sequence is called realizable if it is the count of periodic points of some map. The Fibonacci sequence does not have this property, and the Fibonacci sequence s…
Dold sequences, periodic points, and dynamics
Jakub Byszewski, Grzegorz Graff, Thomas Ward
In this survey we describe how the so-called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Time-changes preserving zeta functions
Sawian Jaidee, Patrick Moss, Tom Ward
We associate to any dynamical system with finitely many periodic orbits of each length a collection of possible time-changes of the sequence of periodic point counts that preserve…
Mixing, wine, and serendipity
Thomas Ward
Mixing for measure-preserving group actions is a fundamental notion in ergodic theory, with different phenomena arising for different acting groups. In 1993, Klaus Schmidt and Tom…